68370624 has 168 divisors, whose sum is σ = 231615488. Its totient is φ = 18869760.

The previous prime is 68370611. The next prime is 68370641. The reversal of 68370624 is 42607386.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×68370624² = 9349084452298752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124719 + ... + 125265.

Almost surely, 2^68370624 is an apocalyptic number.

68370624 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68370624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115807744).

68370624 is an abundant number, since it is smaller than the sum of its proper divisors (163244864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68370624 is a wasteful number, since it uses less digits than its factorization.

68370624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 68370624 is about 8268.6530946703. The cubic root of 68370624 is about 408.9057157186.

The spelling of 68370624 in words is "sixty-eight million, three hundred seventy thousand, six hundred twenty-four".